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Computer-aided implementation of multireference coupled cluster methods

Project goals

The aim of this project is to generalize the tool for computer-aided implementation of coupled-cluster (CC) and perturbation theory methods, called Tensor Contraction Engine (TCE), to Hilbert-space multireference (MR) methods based on multiple Fermi vacua. So far, this tool has only been used for single-reference methods,or for Fock space MR methods, which can be formulated with respect to a single Fermi vacuum. Generalization of this tool should greatly facilitate further development of Hilbert-space multireference CC methods. For example, the tedious coding of effective Hamiltonian matrix elements between mutually tri- and tetra- excited references, renormalization terms in the Jeziorski-Monkhorst or Mukherjee MRCC approaches when including triexcitations in the cluster operator, etc., should be to a big extent automatized. Moreover, TCE generates code which employs point group symmetry and is parallelized. After developing the MR-TCE tool, and employing it to the implementation

Keywords

automated implementationmultireferencecoupled cluster

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 10 (SGA02007GA-ST)

  • Main participants

  • Contest type

    VS - Public tender

  • Contract ID

    203/07/0070

Alternative language

  • Project name in Czech

    Počítačem asistovaná implementace multireferenčních coupled cluster metod

  • Annotation in Czech

    Cílem tohoto projektu je zobecnit nástroj na počítačem asistovanou implementaci coupled-cluster a poruchových metod, nazývaný Tensor Contraction Engine (TCE), na multireferenční (MR) Hilbert-space metody používající několik různých Fermi-vakui. V současnosti je tento nástroj používán jen pro jednoreferenční metody, nebo pro Fock-space MR metody, které se dají formulovat s použitím jediného Fermi vacua. Zobecnění tohoto nástroje by velmi ulehčilo další vývoj Hilbert-space multireferenčních CC metod. Například pracné programování maticových elementů efektivního Hamiltoniánu mezi navzájem tri- a tetra- excitovanými referencemi, renormalizační členy v Jeziorski-Monkhorstově či Mukherjeeho MRCC formulaci při zahrnutí triexcitací do klastrového operátoru, atd., by mělo být do značné míry zautomatizováno. TCE navíc generuje program, který umí využít prostorové symetrie molekul a který je paralelizován. Po vyvinutí MR-TCE nástroje a jeho použití k implementaci MRCC metod provedeme výpočty

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    CF - Physical chemistry and theoretical chemistry

  • CEP - secondary branch

  • CEP - another secondary branch

  • 10403 - Physical chemistry

Completed project evaluation

  • Provider evaluation

    V - Vynikající výsledky projektu (s mezinárodním významem atd.)

  • Project results evaluation

    In the framework of this project we have performed an implementation of the generalization of the TCE tool for symbolic manipulations in the algebra of creation and annihilation operators with respect to different Fermi vacua, in order to make it applicable to the development of multireference coupled cluster methods. With its aid we have implemented the multireferece Brillouin-Wigner coupled clu

Solution timeline

  • Realization period - beginning

    Jan 1, 2007

  • Realization period - end

    Dec 31, 2010

  • Project status

    U - Finished project

  • Latest support payment

    Apr 6, 2010

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP11-GA0-GA-U/03:3

  • Data delivery date

    Feb 9, 2015

Finance

  • Total approved costs

    2,340 thou. CZK

  • Public financial support

    2,340 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

2 340 CZK thou.

Public support

2 340 CZK thou.

100%


Provider

Czech Science Foundation

CEP

CF - Physical chemistry and theoretical chemistry

Solution period

01. 01. 2007 - 31. 12. 2010